动力方程求解的显式积分格式对数值模拟波动特性的影响分析

Effect of an explicit integration formula for dynamic equation on wave property of numerical simulation

基于李小军等提出的显式积分格式应用于波动有限元模拟时的递推形式,重新定义了波动传递函数;以一维均匀离散体系为模型,对给出的传递函数进行了理论推导和求解,并通过数值试验验证了其正确性;通过对传递函数的分析研究,探讨了这种显式积分格式对离散网格中波动传播规律包括截止频率、频散现象和能量耗散等方面的影响.以期为该显式积分格式在波动问题求解中的应用提供更详细的理论参考.

Based on the recursion formula of the integration method, which can be used to solve dynamic equation of structural system, the transfer function of wave is presented. For one-dimensional uniform discrete model, the transfer function of numerical wave is put forward and numerical experiments are provided to demonstrate the correctness of the result. Effect of the explicit integration formula on cut-off frequency, frequency dispersion and numerical dissipation of wave propagation in finite element meshes is studied. The present paper aims at providing academic reference for the explicit integration formula application in infinite domain wave problem.